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Braided oscillators

Name: Braided oscillators
Creator: Yildiz, A
Keywords: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

Braided oscillators.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 2002Embargo end date: 01 Jan 1999 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 43, pages 1,668-1,674 (issn: 0022-2488, eissn: 1089-7658,

Authors: Yildiz, A;

doi: 10.1063/1.1436304 , 10.48550/arxiv.math/9902141

arXiv: http://arxiv.org/abs/math/9902141

Braided oscillators

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Abstract

A generalized oscillator algebra is proposed and the braided Hopf algebra structure for this generalized oscillator is investigated. Using the solutions for the braided Hopf algebra structure, two types of braided Fibonacci oscillators are introduced. This leads to two types of braided Biedenharn–Macfarlane oscillators as special cases of the Fibonacci oscillators. We also find the braided Hopf algebra solutions for the three dimensional braided space. One of these, as a special case, gives the Hopf algebra given in the literature.

Related Organizations

Feza Gürsey Institute
Turkey
Boğaziçi University
Turkey

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups, Commutation relations and statistics as related to quantum mechanics (general), Hopf algebras (associative rings and algebras)

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